Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bx |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
4.0546375392937E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104142416,-397459339116] |
[a1,a2,a3,a4,a6] |
j |
30496269316997451137719249/989901742991616000000 |
j-invariant |
L |
1.8941588427167 |
L(r)(E,1)/r! |
Ω |
0.047353971067917 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730r2 87360fp2 65520ee2 109200dj2 |
Quadratic twists by: -4 8 -3 5 |